Question

In the formula for area of a circle A = 3.14r squares, solve for r

Answer 1

To solve for r, we need to follow the next steps:

A = 3.14 * r^2

First, divide each side of the equation by 3.14:

(A / 3.14 ) =( 3.14/3.14) * r^2

We know that (3.14 / 3.14 = 1)

(A / 3.14 ) = 1 * r^2

(A / 3.14 ) = r^2

r^2 = ( A / 3.14)

We also need to take the square root to both sides of the previous expression:

sqrt( r^2) = sqrt ( A / 3.14 )

The square root of a number raised to the second power is the same number, that is, sqrt( r^2) = r. Then

r = sqrt ( A / 3.14 )

Therefore, solving the formula for r, we have that:

r = sqrt ( A / 3.14 )

r = sqrt ( A / pi )

______

r = V ( A / pi